Kenichi the Mightiest Disciple is definitely up your alley. However, the series takes a while to get going, and it isn't really until the second season (episodes 25+) that the fight scenes get good, it sort of parallels the story though - the strong the protagonist gets, the better the fight scenes become. I think they switched animators or studios or something because season two looks a lot different than season one.
You could also try Sumomomo Momomo. It's an oddity, but it is hand to hand combat.
Also, to point out, Tsubasa: RESERVoir CHRoNiCLE is almost entirely hand-to-hand fighting (when they do fight) with only a small amount of magic/weaponry. Really, only one arc has guns in it, and they aren't even a main fighting tool.
Lastly, there is Kurokami which is full on science fiction, but I don't think they ever use guns (though I could be wrong). The fight scenes are good in this one, they start out good and stay good. The only part you may dislike is there is a lot of "magical" elements to it.